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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 131
262.2.a.a 262.a 1.a $1$ $2.092$ \(\Q\) None \(-1\) \(0\) \(0\) \(-5\) $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-5q^{7}-q^{8}-3q^{9}+2q^{11}+\cdots\)
262.2.a.c 262.a 1.a $2$ $2.092$ \(\Q(\sqrt{13}) \) None \(-2\) \(-1\) \(-5\) \(3\) $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-\beta q^{3}+q^{4}+(-3+\beta )q^{5}+\beta q^{6}+\cdots\)
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